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Finding the Fourth Proportional to 1,338.97, 1,845.89 and 918.65

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Solution

The fourth proportional to 1,338.97, 1,845.89 and 918.65 is: 1,266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.97 : 1,845.89 = 918.65 : x
  2. Step 2: Convert to fraction form
    1,338.97/1,845.89 = 918.65/x
  3. Step 3: Cross multiply
    1,338.97x = 1,845.89 × 918.65
  4. Step 4: Simplify right side
    1,338.97x = 1,695,732.91
  5. Step 5: Solve for x
    x = 1,695,732.91/1,338.97
  6. Step 6: Final answer
    x = 1,266.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.